"<span>A company will need 40,000 in 6 years for a new addition. To meet the goal, the company deposits money into an account today that pays 4% annual intrest compund quarterly." Let's pretend that the instructions state, "Determine the amount of money that must be deposited upfront so that you will have $40,000 in 6 years."
Use the Compound Amount formula: A = P(1 + r/n)^(nt),
where P is the principal (the amount deposited upfront), r is the interest rate as a decimal fraction, n is the number of compounding periods, and t is the time in years.
Here, $40000 = P(1 + 0.04/4)^(4*6)
$40000
So the upfront $ needed is P = -------------------------
(1+0.01)^24
This comes out to $31502.65 (answer)</span>
Answer:
B. E(s) = s^3 - 29.
Step-by-step explanation:
The amount of empty space 
inside the cubic box is equal to the volume of the box minus the volume of the softball.
If the side length of the cubic box is 
, and the volume of the softball is 
, then the amount of empty space inside is
,
where 
is the volume of the cubic box.
Since it matches the equation we got above, choice B stands correct.
Answer:
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Step-by-step explanation:
Answer:
10w+8
Step-by-step explanation:
-10(-w)+8
10w+8
All cone-shaped cups have the same height in 8 inches. They just differ in their diameters. To solve for the volume of the regular and jumbo sizes, let's use the formula for the volume of cone
V = (1/3)*pi*(r^2)*h
r is just the half of the diameter, h is the height which is equal to 8
Regular size:
V = (1/3)*pi*((4/2)^2)*8
V = 33.5 cube inches
Jumbo size:
V = (1/3)*pi*((8/2)^2)*8
V = 134.0 cube inches
